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AP EAMCET202123 Aug 2021Evening ShiftMathematicsPermutation and CombinationActual

The number of words which can be made out of the letters of the word 'MOBILE' when consonants occupy odd places is

Options

  1. A20
  2. B36
  3. C30
  4. D720

Correct answer

B. 36

Step-by-step solution

There are 3 vowels and 3 consonants Number of ways to fill and arrange odd places with consonants = ^3 C₃ 3 ! and number of ways to fill remaining 3 places =3 ! The number of words = ^3 C₃ 3 ! 3 !=36

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